Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case

0382840 - MÚ 2013 RIV CZ eng J - Článek v odborném periodiku
Janyška, J. - Markl, Martin
Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case.
Archivum mathematicum. Roč. 48, č. 1 (2012), s. 61-80. ISSN 0044-8753
Grant CEP: GA ČR GA201/08/0397
Institucionální podpora: RVO:67985840
Klíčová slova: natural operator * linear connection * torsion
Kód oboru RIV: BA - Obecná matematika
http://www.dml.cz/handle/10338.dmlcz/142092

This paper is a continuation of [2], dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an ‘ideal’ basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi–Ricci identities without corrections.
Trvalý link: http://hdl.handle.net/11104/0212953